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Finding the Fourth Proportional to 16,424.31, 22,667.36 and 9,349.59

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Solution

The fourth proportional to 16,424.31, 22,667.36 and 9,349.59 is: 12,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.31 : 22,667.36 = 9,349.59 : x
  2. Step 2: Convert to fraction form
    16,424.31/22,667.36 = 9,349.59/x
  3. Step 3: Cross multiply
    16,424.31x = 22,667.36 × 9,349.59
  4. Step 4: Simplify right side
    16,424.31x = 211,930,522.38
  5. Step 5: Solve for x
    x = 211,930,522.38/16,424.31
  6. Step 6: Final answer
    x = 12,903.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.